By definition all SpecOps activities are technically classified.
I think the classified nature of the activity would be limited to the specific operation. For example, I served on a NATO air base where I was in the Wing Command Post for a half dozen tac evals. You had to have a NATO Top Secret clearance to enter the CP. I won't say what was in there that made it TS, but I never breached security by discussing a couple of situations I was involved with. Usually, it was offering recommendations to the Wing Commander on the correct response to an NBC warfare input.
That's a story unto itself, an Army 2nd LT filling the role of the Army Liasion Officer on a Tac Fighter base. I was briefing the Wing Cdr on the location of our air defense systems when an input was delivered. The Wing Disaster Preparedness officer, a Captain, overreacted in his recommendation to go Alarm Red, i.e. full protective gear.
Drawing on my knowledge and experience as my battery's NBC officer, I recommended a lower alert status, Alarm Yellow. Although I was a butterbar, the Wing Cdr agreed with my reasoning. For the duration of his command, I would be called to the Wing CP on every NBC input in a tac eval.